6256800 has 216 divisors, whose sum is σ = 24373440. Its totient is φ = 1497600.

The previous prime is 6256793. The next prime is 6256819. The reversal of 6256800 is 86526.

6256800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79161 + ... + 79239.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

Almost surely, 2^6256800 is an apocalyptic number.

6256800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186720).

6256800 is an abundant number, since it is smaller than the sum of its proper divisors (18116640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6256800 is a wasteful number, since it uses less digits than its factorization.

6256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6256800 is about 2501.3596302811. The cubic root of 6256800 is about 184.2683544903.

It can be divided in two parts, 6256 and 800, that added together give a square (7056 = 84²).

The spelling of 6256800 in words is "six million, two hundred fifty-six thousand, eight hundred".